{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# <a title=\"Activity Recognition\" href=\"https://github.com/guillaume-chevalier/LSTM-Human-Activity-Recognition\" > LSTMs for Human Activity Recognition</a>\n",
    "\n",
    "Human Activity Recognition (HAR) using smartphones dataset and an LSTM RNN. Classifying the type of movement amongst six categories:\n",
    "- WALKING,\n",
    "- WALKING_UPSTAIRS,\n",
    "- WALKING_DOWNSTAIRS,\n",
    "- SITTING,\n",
    "- STANDING,\n",
    "- LAYING.\n",
    "\n",
    "Compared to a classical approach, using a Recurrent Neural Networks (RNN) with Long Short-Term Memory cells (LSTMs) require no or almost no feature engineering. Data can be fed directly into the neural network who acts like a black box, modeling the problem correctly. [Other research](https://archive.ics.uci.edu/ml/machine-learning-databases/00240/UCI%20HAR%20Dataset.names) on the activity recognition dataset can use a big amount of feature engineering, which is rather a signal processing approach combined with classical data science techniques. The approach here is rather very simple in terms of how much was the data preprocessed. \n",
    "\n",
    "Let's use Google's neat Deep Learning library, TensorFlow, demonstrating the usage of an LSTM, a type of Artificial Neural Network that can process sequential data / time series. \n",
    "\n",
    "## Video dataset overview\n",
    "\n",
    "Follow this link to see a video of the 6 activities recorded in the experiment with one of the participants:\n",
    "\n",
    "<p align=\"center\">\n",
    "  <a href=\"http://www.youtube.com/watch?feature=player_embedded&v=XOEN9W05_4A\n",
    "\" target=\"_blank\"><img src=\"http://img.youtube.com/vi/XOEN9W05_4A/0.jpg\" \n",
    "alt=\"Video of the experiment\" width=\"400\" height=\"300\" border=\"10\" /></a>\n",
    "  <a href=\"https://youtu.be/XOEN9W05_4A\"><center>[Watch video]</center></a>\n",
    "</p>\n",
    "\n",
    "## Details about the input data\n",
    "\n",
    "I will be using an LSTM on the data to learn (as a cellphone attached on the waist) to recognise the type of activity that the user is doing. The dataset's description goes like this:\n",
    "\n",
    "> The sensor signals (accelerometer and gyroscope) were pre-processed by applying noise filters and then sampled in fixed-width sliding windows of 2.56 sec and 50% overlap (128 readings/window). The sensor acceleration signal, which has gravitational and body motion components, was separated using a Butterworth low-pass filter into body acceleration and gravity. The gravitational force is assumed to have only low frequency components, therefore a filter with 0.3 Hz cutoff frequency was used. \n",
    "\n",
    "That said, I will use the almost raw data: only the gravity effect has been filtered out of the accelerometer  as a preprocessing step for another 3D feature as an input to help learning. If you'd ever want to extract the gravity by yourself, you could fork my code on using a [Butterworth Low-Pass Filter (LPF) in Python](https://github.com/guillaume-chevalier/filtering-stft-and-laplace-transform) and edit it to have the right cutoff frequency of 0.3 Hz which is a good frequency for activity recognition from body sensors.\n",
    "\n",
    "## What is an RNN?\n",
    "\n",
    "As explained in [this article](http://karpathy.github.io/2015/05/21/rnn-effectiveness/), an RNN takes many input vectors to process them and output other vectors. It can be roughly pictured like in the image below, imagining each rectangle has a vectorial depth and other special hidden quirks in the image below. **In our case, the \"many to one\" architecture is used**: we accept time series of [feature vectors](https://www.quora.com/What-do-samples-features-time-steps-mean-in-LSTM/answer/Guillaume-Chevalier-2) (one vector per [time step](https://www.quora.com/What-do-samples-features-time-steps-mean-in-LSTM/answer/Guillaume-Chevalier-2)) to convert them to a probability vector at the output for classification. Note that a \"one to one\" architecture would be a standard feedforward neural network. \n",
    "\n",
    "> <a href=\"http://karpathy.github.io/2015/05/21/rnn-effectiveness/\" ><img src=\"http://karpathy.github.io/assets/rnn/diags.jpeg\" /></a>\n",
    "> http://karpathy.github.io/2015/05/21/rnn-effectiveness/\n",
    "\n",
    "## What is an LSTM?\n",
    "\n",
    "An LSTM is an improved RNN. It is more complex, but easier to train, avoiding what is called the vanishing gradient problem. I recommend [this article](http://colah.github.io/posts/2015-08-Understanding-LSTMs/) for you to learn more on LSTMs.\n",
    "\n",
    "\n",
    "## Results \n",
    "\n",
    "Scroll on! Nice visuals awaits. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# All Includes\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "import tensorflow as tf  # Version 1.0.0 (some previous versions are used in past commits)\n",
    "from sklearn import metrics\n",
    "\n",
    "import os"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Useful Constants\n",
    "\n",
    "# Those are separate normalised input features for the neural network\n",
    "INPUT_SIGNAL_TYPES = [\n",
    "    \"body_acc_x_\",\n",
    "    \"body_acc_y_\",\n",
    "    \"body_acc_z_\",\n",
    "    \"body_gyro_x_\",\n",
    "    \"body_gyro_y_\",\n",
    "    \"body_gyro_z_\",\n",
    "    \"total_acc_x_\",\n",
    "    \"total_acc_y_\",\n",
    "    \"total_acc_z_\"\n",
    "]\n",
    "\n",
    "# Output classes to learn how to classify\n",
    "LABELS = [\n",
    "    \"WALKING\", \n",
    "    \"WALKING_UPSTAIRS\", \n",
    "    \"WALKING_DOWNSTAIRS\", \n",
    "    \"SITTING\", \n",
    "    \"STANDING\", \n",
    "    \"LAYING\"\n",
    "] \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Let's start by downloading the data: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "/home/ubuntu/pynb/LSTM-Human-Activity-Recognition\n",
      "data\t LSTM_files  LSTM_OLD.ipynb  README.md\n",
      "LICENSE  LSTM.ipynb  lstm.py\t     screenlog.0\n",
      "/home/ubuntu/pynb/LSTM-Human-Activity-Recognition/data\n",
      "download_dataset.py  source.txt\n",
      "\n",
      "Downloading...\n",
      "--2017-05-24 01:49:53--  https://archive.ics.uci.edu/ml/machine-learning-databases/00240/UCI%20HAR%20Dataset.zip\n",
      "Resolving archive.ics.uci.edu (archive.ics.uci.edu)... 128.195.10.249\n",
      "Connecting to archive.ics.uci.edu (archive.ics.uci.edu)|128.195.10.249|:443... connected.\n",
      "HTTP request sent, awaiting response... 200 OK\n",
      "Length: 60999314 (58M) [application/zip]\n",
      "Saving to: ‘UCI HAR Dataset.zip’\n",
      "\n",
      "100%[======================================>] 60,999,314  1.69MB/s   in 38s    \n",
      "\n",
      "2017-05-24 01:50:31 (1.55 MB/s) - ‘UCI HAR Dataset.zip’ saved [60999314/60999314]\n",
      "\n",
      "Downloading done.\n",
      "\n",
      "Extracting...\n",
      "Extracting successfully done to /home/ubuntu/pynb/LSTM-Human-Activity-Recognition/data/UCI HAR Dataset.\n",
      "/home/ubuntu/pynb/LSTM-Human-Activity-Recognition/data\n",
      "download_dataset.py  __MACOSX  source.txt  UCI HAR Dataset  UCI HAR Dataset.zip\n",
      "/home/ubuntu/pynb/LSTM-Human-Activity-Recognition\n",
      "data\t LSTM_files  LSTM_OLD.ipynb  README.md\n",
      "LICENSE  LSTM.ipynb  lstm.py\t     screenlog.0\n",
      "\n",
      "Dataset is now located at: data/UCI HAR Dataset/\n"
     ]
    }
   ],
   "source": [
    "# Note: Linux bash commands start with a \"!\" inside those \"ipython notebook\" cells\n",
    "\n",
    "DATA_PATH = \"data/\"\n",
    "\n",
    "!pwd && ls\n",
    "os.chdir(DATA_PATH)\n",
    "!pwd && ls\n",
    "\n",
    "!python download_dataset.py\n",
    "\n",
    "!pwd && ls\n",
    "os.chdir(\"..\")\n",
    "!pwd && ls\n",
    "\n",
    "DATASET_PATH = DATA_PATH + \"UCI HAR Dataset/\"\n",
    "print(\"\\n\" + \"Dataset is now located at: \" + DATASET_PATH)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Preparing dataset:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "TRAIN = \"train/\"\n",
    "TEST = \"test/\"\n",
    "\n",
    "\n",
    "# Load \"X\" (the neural network's training and testing inputs)\n",
    "\n",
    "def load_X(X_signals_paths):\n",
    "    X_signals = []\n",
    "    \n",
    "    for signal_type_path in X_signals_paths:\n",
    "        file = open(signal_type_path, 'r')\n",
    "        # Read dataset from disk, dealing with text files' syntax\n",
    "        X_signals.append(\n",
    "            [np.array(serie, dtype=np.float32) for serie in [\n",
    "                row.replace('  ', ' ').strip().split(' ') for row in file\n",
    "            ]]\n",
    "        )\n",
    "        file.close()\n",
    "    \n",
    "    return np.transpose(np.array(X_signals), (1, 2, 0))\n",
    "\n",
    "X_train_signals_paths = [\n",
    "    DATASET_PATH + TRAIN + \"Inertial Signals/\" + signal + \"train.txt\" for signal in INPUT_SIGNAL_TYPES\n",
    "]\n",
    "X_test_signals_paths = [\n",
    "    DATASET_PATH + TEST + \"Inertial Signals/\" + signal + \"test.txt\" for signal in INPUT_SIGNAL_TYPES\n",
    "]\n",
    "\n",
    "X_train = load_X(X_train_signals_paths)\n",
    "X_test = load_X(X_test_signals_paths)\n",
    "\n",
    "\n",
    "# Load \"y\" (the neural network's training and testing outputs)\n",
    "\n",
    "def load_y(y_path):\n",
    "    file = open(y_path, 'r')\n",
    "    # Read dataset from disk, dealing with text file's syntax\n",
    "    y_ = np.array(\n",
    "        [elem for elem in [\n",
    "            row.replace('  ', ' ').strip().split(' ') for row in file\n",
    "        ]], \n",
    "        dtype=np.int32\n",
    "    )\n",
    "    file.close()\n",
    "    \n",
    "    # Substract 1 to each output class for friendly 0-based indexing \n",
    "    return y_ - 1\n",
    "\n",
    "y_train_path = DATASET_PATH + TRAIN + \"y_train.txt\"\n",
    "y_test_path = DATASET_PATH + TEST + \"y_test.txt\"\n",
    "\n",
    "y_train = load_y(y_train_path)\n",
    "y_test = load_y(y_test_path)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Additionnal Parameters:\n",
    "\n",
    "Here are some core parameter definitions for the training. \n",
    "\n",
    "For example, the whole neural network's structure could be summarised by enumerating those parameters and the fact that two LSTM are used one on top of another (stacked) output-to-input as hidden layers through time steps. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Some useful info to get an insight on dataset's shape and normalisation:\n",
      "(X shape, y shape, every X's mean, every X's standard deviation)\n",
      "(2947, 128, 9) (2947, 1) 0.0991399 0.395671\n",
      "The dataset is therefore properly normalised, as expected, but not yet one-hot encoded.\n"
     ]
    }
   ],
   "source": [
    "# Input Data \n",
    "\n",
    "training_data_count = len(X_train)  # 7352 training series (with 50% overlap between each serie)\n",
    "test_data_count = len(X_test)  # 2947 testing series\n",
    "n_steps = len(X_train[0])  # 128 timesteps per series\n",
    "n_input = len(X_train[0][0])  # 9 input parameters per timestep\n",
    "\n",
    "\n",
    "# LSTM Neural Network's internal structure\n",
    "\n",
    "n_hidden = 32 # Hidden layer num of features\n",
    "n_classes = 6 # Total classes (should go up, or should go down)\n",
    "\n",
    "\n",
    "# Training \n",
    "\n",
    "learning_rate = 0.0025\n",
    "lambda_loss_amount = 0.0015\n",
    "training_iters = training_data_count * 300  # Loop 300 times on the dataset\n",
    "batch_size = 1500\n",
    "display_iter = 30000  # To show test set accuracy during training\n",
    "\n",
    "\n",
    "# Some debugging info\n",
    "\n",
    "print(\"Some useful info to get an insight on dataset's shape and normalisation:\")\n",
    "print(\"(X shape, y shape, every X's mean, every X's standard deviation)\")\n",
    "print(X_test.shape, y_test.shape, np.mean(X_test), np.std(X_test))\n",
    "print(\"The dataset is therefore properly normalised, as expected, but not yet one-hot encoded.\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Utility functions for training:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def LSTM_RNN(_X, _weights, _biases):\n",
    "    # Function returns a tensorflow LSTM (RNN) artificial neural network from given parameters. \n",
    "    # Moreover, two LSTM cells are stacked which adds deepness to the neural network. \n",
    "    # Note, some code of this notebook is inspired from an slightly different \n",
    "    # RNN architecture used on another dataset, some of the credits goes to \n",
    "    # \"aymericdamien\" under the MIT license.\n",
    "\n",
    "    # (NOTE: This step could be greatly optimised by shaping the dataset once\n",
    "    # input shape: (batch_size, n_steps, n_input)\n",
    "    _X = tf.transpose(_X, [1, 0, 2])  # permute n_steps and batch_size\n",
    "    # Reshape to prepare input to hidden activation\n",
    "    _X = tf.reshape(_X, [-1, n_input]) \n",
    "    # new shape: (n_steps*batch_size, n_input)\n",
    "    \n",
    "    # ReLU activation, thanks to Yu Zhao for adding this improvement here:\n",
    "    _X = tf.nn.relu(tf.matmul(_X, _weights['hidden']) + _biases['hidden'])\n",
    "    # Split data because rnn cell needs a list of inputs for the RNN inner loop\n",
    "    _X = tf.split(_X, n_steps, 0) \n",
    "    # new shape: n_steps * (batch_size, n_hidden)\n",
    "\n",
    "    # Define two stacked LSTM cells (two recurrent layers deep) with tensorflow\n",
    "    lstm_cell_1 = tf.contrib.rnn.BasicLSTMCell(n_hidden, forget_bias=1.0, state_is_tuple=True)\n",
    "    lstm_cell_2 = tf.contrib.rnn.BasicLSTMCell(n_hidden, forget_bias=1.0, state_is_tuple=True)\n",
    "    lstm_cells = tf.contrib.rnn.MultiRNNCell([lstm_cell_1, lstm_cell_2], state_is_tuple=True)\n",
    "    # Get LSTM cell output\n",
    "    outputs, states = tf.contrib.rnn.static_rnn(lstm_cells, _X, dtype=tf.float32)\n",
    "\n",
    "    # Get last time step's output feature for a \"many-to-one\" style classifier, \n",
    "    # as in the image describing RNNs at the top of this page\n",
    "    lstm_last_output = outputs[-1]\n",
    "    \n",
    "    # Linear activation\n",
    "    return tf.matmul(lstm_last_output, _weights['out']) + _biases['out']\n",
    "\n",
    "\n",
    "def extract_batch_size(_train, step, batch_size):\n",
    "    # Function to fetch a \"batch_size\" amount of data from \"(X|y)_train\" data. \n",
    "    \n",
    "    shape = list(_train.shape)\n",
    "    shape[0] = batch_size\n",
    "    batch_s = np.empty(shape)\n",
    "\n",
    "    for i in range(batch_size):\n",
    "        # Loop index\n",
    "        index = ((step-1)*batch_size + i) % len(_train)\n",
    "        batch_s[i] = _train[index] \n",
    "\n",
    "    return batch_s\n",
    "\n",
    "\n",
    "def one_hot(y_, n_classes=n_classes):\n",
    "    # Function to encode neural one-hot output labels from number indexes \n",
    "    # e.g.: \n",
    "    # one_hot(y_=[[5], [0], [3]], n_classes=6):\n",
    "    #     return [[0, 0, 0, 0, 0, 1], [1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0]]\n",
    "    \n",
    "    y_ = y_.reshape(len(y_))\n",
    "    return np.eye(n_classes)[np.array(y_, dtype=np.int32)]  # Returns FLOATS\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Let's get serious and build the neural network:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "# Graph input/output\n",
    "x = tf.placeholder(tf.float32, [None, n_steps, n_input])\n",
    "y = tf.placeholder(tf.float32, [None, n_classes])\n",
    "\n",
    "# Graph weights\n",
    "weights = {\n",
    "    'hidden': tf.Variable(tf.random_normal([n_input, n_hidden])), # Hidden layer weights\n",
    "    'out': tf.Variable(tf.random_normal([n_hidden, n_classes], mean=1.0))\n",
    "}\n",
    "biases = {\n",
    "    'hidden': tf.Variable(tf.random_normal([n_hidden])),\n",
    "    'out': tf.Variable(tf.random_normal([n_classes]))\n",
    "}\n",
    "\n",
    "pred = LSTM_RNN(x, weights, biases)\n",
    "\n",
    "# Loss, optimizer and evaluation\n",
    "l2 = lambda_loss_amount * sum(\n",
    "    tf.nn.l2_loss(tf_var) for tf_var in tf.trainable_variables()\n",
    ") # L2 loss prevents this overkill neural network to overfit the data\n",
    "cost = tf.reduce_mean(tf.nn.softmax_cross_entropy_with_logits(labels=y, logits=pred)) + l2 # Softmax loss\n",
    "optimizer = tf.train.AdamOptimizer(learning_rate=learning_rate).minimize(cost) # Adam Optimizer\n",
    "\n",
    "correct_pred = tf.equal(tf.argmax(pred,1), tf.argmax(y,1))\n",
    "accuracy = tf.reduce_mean(tf.cast(correct_pred, tf.float32))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Hooray, now train the neural network:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "WARNING:tensorflow:From <ipython-input-19-3339689e51f6>:9: initialize_all_variables (from tensorflow.python.ops.variables) is deprecated and will be removed after 2017-03-02.\n",
      "Instructions for updating:\n",
      "Use `tf.global_variables_initializer` instead.\n",
      "Training iter #1500:   Batch Loss = 5.416760, Accuracy = 0.15266665816307068\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 4.880829811096191, Accuracy = 0.05632847175002098\n",
      "Training iter #30000:   Batch Loss = 3.031930, Accuracy = 0.607333242893219\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 3.0515167713165283, Accuracy = 0.6067186594009399\n",
      "Training iter #60000:   Batch Loss = 2.672764, Accuracy = 0.7386666536331177\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 2.780435085296631, Accuracy = 0.7027485370635986\n",
      "Training iter #90000:   Batch Loss = 2.378301, Accuracy = 0.8366667032241821\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 2.6019773483276367, Accuracy = 0.7617915868759155\n",
      "Training iter #120000:   Batch Loss = 2.127290, Accuracy = 0.9066667556762695\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 2.3625404834747314, Accuracy = 0.8116728663444519\n",
      "Training iter #150000:   Batch Loss = 1.929805, Accuracy = 0.9380000233650208\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 2.306251049041748, Accuracy = 0.8276212215423584\n",
      "Training iter #180000:   Batch Loss = 1.971904, Accuracy = 0.9153333902359009\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 2.0835530757904053, Accuracy = 0.8771631121635437\n",
      "Training iter #210000:   Batch Loss = 1.860249, Accuracy = 0.8613333702087402\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 1.9994492530822754, Accuracy = 0.8788597583770752\n",
      "Training iter #240000:   Batch Loss = 1.626292, Accuracy = 0.9380000233650208\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 1.879166603088379, Accuracy = 0.8944689035415649\n",
      "Training iter #270000:   Batch Loss = 1.582758, Accuracy = 0.9386667013168335\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 2.0341007709503174, Accuracy = 0.8361043930053711\n",
      "Training iter #300000:   Batch Loss = 1.620352, Accuracy = 0.9306666851043701\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 1.8185184001922607, Accuracy = 0.8639293313026428\n",
      "Training iter #330000:   Batch Loss = 1.474394, Accuracy = 0.9693333506584167\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 1.7638503313064575, Accuracy = 0.8747878670692444\n",
      "Training iter #360000:   Batch Loss = 1.406998, Accuracy = 0.9420000314712524\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 1.5946787595748901, Accuracy = 0.902273416519165\n",
      "Training iter #390000:   Batch Loss = 1.362515, Accuracy = 0.940000057220459\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 1.5285792350769043, Accuracy = 0.9046487212181091\n",
      "Training iter #420000:   Batch Loss = 1.252860, Accuracy = 0.9566667079925537\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 1.4635565280914307, Accuracy = 0.9107565879821777\n",
      "Training iter #450000:   Batch Loss = 1.190078, Accuracy = 0.9553333520889282\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 1.442753553390503, Accuracy = 0.9093992710113525\n",
      "Training iter #480000:   Batch Loss = 1.159610, Accuracy = 0.9446667432785034\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 1.4130011796951294, Accuracy = 0.8971834778785706\n",
      "Training iter #510000:   Batch Loss = 1.100551, Accuracy = 0.9593333601951599\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 1.3075592517852783, Accuracy = 0.9117745757102966\n",
      "Training iter #540000:   Batch Loss = 1.123470, Accuracy = 0.9240000247955322\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 1.2605488300323486, Accuracy = 0.9165251851081848\n",
      "Training iter #570000:   Batch Loss = 1.103454, Accuracy = 0.909333348274231\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 1.2327136993408203, Accuracy = 0.9009160399436951\n",
      "Training iter #600000:   Batch Loss = 1.083368, Accuracy = 0.8966666460037231\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 1.2683708667755127, Accuracy = 0.8890395164489746\n",
      "Training iter #630000:   Batch Loss = 0.939185, Accuracy = 0.9700000882148743\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 1.2147629261016846, Accuracy = 0.8866642713546753\n",
      "Training iter #660000:   Batch Loss = 0.881242, Accuracy = 0.9806667566299438\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 1.1068334579467773, Accuracy = 0.9151678681373596\n",
      "Training iter #690000:   Batch Loss = 0.831674, Accuracy = 0.9853334426879883\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 1.0885852575302124, Accuracy = 0.9121139645576477\n",
      "Training iter #720000:   Batch Loss = 0.866615, Accuracy = 0.9573334455490112\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 1.0513516664505005, Accuracy = 0.9158465266227722\n",
      "Training iter #750000:   Batch Loss = 0.858979, Accuracy = 0.940000057220459\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 1.0598633289337158, Accuracy = 0.9063453674316406\n",
      "Training iter #780000:   Batch Loss = 0.750040, Accuracy = 0.9593334197998047\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 1.010966420173645, Accuracy = 0.9155071973800659\n",
      "Training iter #810000:   Batch Loss = 0.732136, Accuracy = 0.9620000123977661\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.9865696430206299, Accuracy = 0.9161858558654785\n",
      "Training iter #840000:   Batch Loss = 0.758945, Accuracy = 0.9406667351722717\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 1.0347753763198853, Accuracy = 0.8958262205123901\n",
      "Training iter #870000:   Batch Loss = 0.710809, Accuracy = 0.9660000205039978\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.9786491990089417, Accuracy = 0.893111526966095\n",
      "Training iter #900000:   Batch Loss = 0.705978, Accuracy = 0.9553333520889282\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.9204542636871338, Accuracy = 0.9002374410629272\n",
      "Training iter #930000:   Batch Loss = 0.759181, Accuracy = 0.9066667556762695\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.9086415767669678, Accuracy = 0.9036307334899902\n",
      "Training iter #960000:   Batch Loss = 0.705333, Accuracy = 0.9286667108535767\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.850454568862915, Accuracy = 0.9080419540405273\n",
      "Training iter #990000:   Batch Loss = 0.599754, Accuracy = 0.9693333506584167\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.8451057076454163, Accuracy = 0.9114353656768799\n",
      "Training iter #1020000:   Batch Loss = 0.585689, Accuracy = 0.9700000286102295\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.8170899152755737, Accuracy = 0.9110959768295288\n",
      "Training iter #1050000:   Batch Loss = 0.553970, Accuracy = 0.984000027179718\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.8555561304092407, Accuracy = 0.9114352464675903\n",
      "Training iter #1080000:   Batch Loss = 0.601349, Accuracy = 0.9693334102630615\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.8512595891952515, Accuracy = 0.8781810998916626\n",
      "Training iter #1110000:   Batch Loss = 0.601967, Accuracy = 0.937999963760376\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.7551606297492981, Accuracy = 0.9087206721305847\n",
      "Training iter #1140000:   Batch Loss = 0.597223, Accuracy = 0.9353333711624146\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.7431289553642273, Accuracy = 0.909060001373291\n",
      "Training iter #1170000:   Batch Loss = 0.523300, Accuracy = 0.9500000476837158\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.745741605758667, Accuracy = 0.9093992710113525\n",
      "Training iter #1200000:   Batch Loss = 0.500816, Accuracy = 0.9600000381469727\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.6978224515914917, Accuracy = 0.9138105511665344\n",
      "Training iter #1230000:   Batch Loss = 0.495834, Accuracy = 0.9546667337417603\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.6866210699081421, Accuracy = 0.9178825616836548\n",
      "Training iter #1260000:   Batch Loss = 0.480467, Accuracy = 0.9813334345817566\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.6883729100227356, Accuracy = 0.9100779294967651\n",
      "Training iter #1290000:   Batch Loss = 0.516874, Accuracy = 0.9326666593551636\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.6925369501113892, Accuracy = 0.9032914042472839\n",
      "Training iter #1320000:   Batch Loss = 0.570053, Accuracy = 0.9080000519752502\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.743996798992157, Accuracy = 0.8978621363639832\n",
      "Training iter #1350000:   Batch Loss = 0.491792, Accuracy = 0.9580000638961792\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.6543726921081543, Accuracy = 0.8951475024223328\n",
      "Training iter #1380000:   Batch Loss = 0.423705, Accuracy = 0.9760000705718994\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.6256207227706909, Accuracy = 0.91788250207901\n",
      "Training iter #1410000:   Batch Loss = 0.399226, Accuracy = 0.9840000867843628\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.6232836246490479, Accuracy = 0.9205971360206604\n",
      "Training iter #1440000:   Batch Loss = 0.415493, Accuracy = 0.972000002861023\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.6083709001541138, Accuracy = 0.9104173183441162\n",
      "Training iter #1470000:   Batch Loss = 0.499316, Accuracy = 0.9306666851043701\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.5882848501205444, Accuracy = 0.9117745757102966\n",
      "Training iter #1500000:   Batch Loss = 0.478666, Accuracy = 0.9346666932106018\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.5803182125091553, Accuracy = 0.91652512550354\n",
      "Training iter #1530000:   Batch Loss = 0.366041, Accuracy = 0.968666672706604\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.5783829689025879, Accuracy = 0.9114352464675903\n",
      "Training iter #1560000:   Batch Loss = 0.377644, Accuracy = 0.9506667256355286\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.5899279117584229, Accuracy = 0.9070240259170532\n",
      "Training iter #1590000:   Batch Loss = 0.485060, Accuracy = 0.9133333563804626\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.7430599927902222, Accuracy = 0.8649473190307617\n",
      "Training iter #1620000:   Batch Loss = 0.386228, Accuracy = 0.9633333683013916\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.5264637470245361, Accuracy = 0.9070240259170532\n",
      "Training iter #1650000:   Batch Loss = 0.416933, Accuracy = 0.9193333983421326\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.5343363881111145, Accuracy = 0.914489209651947\n",
      "Training iter #1680000:   Batch Loss = 0.421477, Accuracy = 0.9300000667572021\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.5374469757080078, Accuracy = 0.9243297576904297\n",
      "Training iter #1710000:   Batch Loss = 0.403527, Accuracy = 0.9300000071525574\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.5439008474349976, Accuracy = 0.905666708946228\n",
      "Training iter #1740000:   Batch Loss = 0.331851, Accuracy = 0.9753334522247314\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.5405154228210449, Accuracy = 0.9093992710113525\n",
      "Training iter #1770000:   Batch Loss = 0.337737, Accuracy = 0.9780000448226929\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.5582258701324463, Accuracy = 0.9026126861572266\n",
      "Training iter #1800000:   Batch Loss = 0.332086, Accuracy = 0.9600000381469727\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.5655900835990906, Accuracy = 0.8995587825775146\n",
      "Training iter #1830000:   Batch Loss = 0.400998, Accuracy = 0.9480000734329224\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.47865116596221924, Accuracy = 0.9144891500473022\n",
      "Training iter #1860000:   Batch Loss = 0.364531, Accuracy = 0.9493333697319031\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.49166250228881836, Accuracy = 0.9158465266227722\n",
      "Training iter #1890000:   Batch Loss = 0.316529, Accuracy = 0.9593334197998047\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.5186017751693726, Accuracy = 0.9104173183441162\n",
      "Training iter #1920000:   Batch Loss = 0.309109, Accuracy = 0.9626667499542236\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.5222393274307251, Accuracy = 0.9002374410629272\n",
      "Training iter #1950000:   Batch Loss = 0.427720, Accuracy = 0.9193333387374878\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.5457150340080261, Accuracy = 0.9070240259170532\n",
      "Training iter #1980000:   Batch Loss = 0.330174, Accuracy = 0.9526667594909668\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.5917137861251831, Accuracy = 0.8812350034713745\n",
      "Training iter #2010000:   Batch Loss = 0.371541, Accuracy = 0.906000018119812\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.53951495885849, Accuracy = 0.8802171349525452\n",
      "Training iter #2040000:   Batch Loss = 0.382413, Accuracy = 0.9206666946411133\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.42567864060401917, Accuracy = 0.9324736595153809\n",
      "Training iter #2070000:   Batch Loss = 0.342763, Accuracy = 0.9326667189598083\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.4292983412742615, Accuracy = 0.9273836612701416\n",
      "Training iter #2100000:   Batch Loss = 0.259442, Accuracy = 0.9873334169387817\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.44131210446357727, Accuracy = 0.9273836612701416\n",
      "Training iter #2130000:   Batch Loss = 0.284630, Accuracy = 0.9593333601951599\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.46982717514038086, Accuracy = 0.9093992710113525\n",
      "Training iter #2160000:   Batch Loss = 0.299012, Accuracy = 0.9686667323112488\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.48389002680778503, Accuracy = 0.9138105511665344\n",
      "Training iter #2190000:   Batch Loss = 0.287106, Accuracy = 0.9700000286102295\n",
      "PERFORMANCE ON TEST SET: Batch Loss = 0.4670214056968689, Accuracy = 0.9216151237487793\n",
      "Optimization Finished!\n",
      "FINAL RESULT: Batch Loss = 0.45611169934272766, Accuracy = 0.9165252447128296\n"
     ]
    }
   ],
   "source": [
    "# To keep track of training's performance\n",
    "test_losses = []\n",
    "test_accuracies = []\n",
    "train_losses = []\n",
    "train_accuracies = []\n",
    "\n",
    "# Launch the graph\n",
    "sess = tf.InteractiveSession(config=tf.ConfigProto(log_device_placement=True))\n",
    "init = tf.global_variables_initializer()\n",
    "sess.run(init)\n",
    "\n",
    "# Perform Training steps with \"batch_size\" amount of example data at each loop\n",
    "step = 1\n",
    "while step * batch_size <= training_iters:\n",
    "    batch_xs =         extract_batch_size(X_train, step, batch_size)\n",
    "    batch_ys = one_hot(extract_batch_size(y_train, step, batch_size))\n",
    "\n",
    "    # Fit training using batch data\n",
    "    _, loss, acc = sess.run(\n",
    "        [optimizer, cost, accuracy],\n",
    "        feed_dict={\n",
    "            x: batch_xs, \n",
    "            y: batch_ys\n",
    "        }\n",
    "    )\n",
    "    train_losses.append(loss)\n",
    "    train_accuracies.append(acc)\n",
    "    \n",
    "    # Evaluate network only at some steps for faster training: \n",
    "    if (step*batch_size % display_iter == 0) or (step == 1) or (step * batch_size > training_iters):\n",
    "        \n",
    "        # To not spam console, show training accuracy/loss in this \"if\"\n",
    "        print(\"Training iter #\" + str(step*batch_size) + \\\n",
    "              \":   Batch Loss = \" + \"{:.6f}\".format(loss) + \\\n",
    "              \", Accuracy = {}\".format(acc))\n",
    "        \n",
    "        # Evaluation on the test set (no learning made here - just evaluation for diagnosis)\n",
    "        loss, acc = sess.run(\n",
    "            [cost, accuracy], \n",
    "            feed_dict={\n",
    "                x: X_test,\n",
    "                y: one_hot(y_test)\n",
    "            }\n",
    "        )\n",
    "        test_losses.append(loss)\n",
    "        test_accuracies.append(acc)\n",
    "        print(\"PERFORMANCE ON TEST SET: \" + \\\n",
    "              \"Batch Loss = {}\".format(loss) + \\\n",
    "              \", Accuracy = {}\".format(acc))\n",
    "\n",
    "    step += 1\n",
    "\n",
    "print(\"Optimization Finished!\")\n",
    "\n",
    "# Accuracy for test data\n",
    "\n",
    "one_hot_predictions, accuracy, final_loss = sess.run(\n",
    "    [pred, accuracy, cost],\n",
    "    feed_dict={\n",
    "        x: X_test,\n",
    "        y: one_hot(y_test)\n",
    "    }\n",
    ")\n",
    "\n",
    "test_losses.append(final_loss)\n",
    "test_accuracies.append(accuracy)\n",
    "\n",
    "print(\"FINAL RESULT: \" + \\\n",
    "      \"Batch Loss = {}\".format(final_loss) + \\\n",
    "      \", Accuracy = {}\".format(accuracy))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Training is good, but having visual insight is even better:\n",
    "\n",
    "Okay, let's plot this simply in the notebook for now."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Ok4/nnnvOCkq9vb1p166dLd2hQ4cKXbY7P//8s/WLAsA777yDt7c3AH5+frz5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\nbwFNGxMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fdfded7cdd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# (Inline plots: )\n",
    "%matplotlib inline\n",
    "\n",
    "font = {\n",
    "    'family' : 'Bitstream Vera Sans',\n",
    "    'weight' : 'bold',\n",
    "    'size'   : 18\n",
    "}\n",
    "matplotlib.rc('font', **font)\n",
    "\n",
    "width = 12\n",
    "height = 12\n",
    "plt.figure(figsize=(width, height))\n",
    "\n",
    "indep_train_axis = np.array(range(batch_size, (len(train_losses)+1)*batch_size, batch_size))\n",
    "plt.plot(indep_train_axis, np.array(train_losses),     \"b--\", label=\"Train losses\")\n",
    "plt.plot(indep_train_axis, np.array(train_accuracies), \"g--\", label=\"Train accuracies\")\n",
    "\n",
    "indep_test_axis = np.append(\n",
    "    np.array(range(batch_size, len(test_losses)*display_iter, display_iter)[:-1]),\n",
    "    [training_iters]\n",
    ")\n",
    "plt.plot(indep_test_axis, np.array(test_losses),     \"b-\", label=\"Test losses\")\n",
    "plt.plot(indep_test_axis, np.array(test_accuracies), \"g-\", label=\"Test accuracies\")\n",
    "\n",
    "plt.title(\"Training session's progress over iterations\")\n",
    "plt.legend(loc='upper right', shadow=True)\n",
    "plt.ylabel('Training Progress (Loss or Accuracy values)')\n",
    "plt.xlabel('Training iteration')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## And finally, the multi-class confusion matrix and metrics!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Testing Accuracy: 91.65252447128296%\n",
      "\n",
      "Precision: 91.76286479743305%\n",
      "Recall: 91.65252799457076%\n",
      "f1_score: 91.6437546304815%\n",
      "\n",
      "Confusion Matrix:\n",
      "[[466   2  26   0   2   0]\n",
      " [  5 441  25   0   0   0]\n",
      " [  1   0 419   0   0   0]\n",
      " [  1   1   0 396  87   6]\n",
      " [  2   1   0  87 442   0]\n",
      " [  0   0   0   0   0 537]]\n",
      "\n",
      "Confusion matrix (normalised to % of total test data):\n",
      "[[ 15.81269073   0.06786563   0.88225317   0.           0.06786563   0.        ]\n",
      " [  0.16966406  14.96437073   0.84832031   0.           0.           0.        ]\n",
      " [  0.03393281   0.          14.21784878   0.           0.           0.        ]\n",
      " [  0.03393281   0.03393281   0.          13.43739319   2.95215464\n",
      "    0.20359688]\n",
      " [  0.06786563   0.03393281   0.           2.95215464  14.99830341   0.        ]\n",
      " [  0.           0.           0.           0.           0.          18.22192001]]\n",
      "Note: training and testing data is not equally distributed amongst classes, \n",
      "so it is normal that more than a 6th of the data is correctly classifier in the last category.\n"
     ]
    },
    {
     "data": {
      "image/png": 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V5pYiMzMzM7OqGdkxcxx0BLcUmZmZmZlZpTkoMrNKk/ROSV2SPj3UZRkOJK2V6+ueVpZ3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\ntf8HGEwmAny82PIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fdfd4635e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Results\n",
    "\n",
    "predictions = one_hot_predictions.argmax(1)\n",
    "\n",
    "print(\"Testing Accuracy: {}%\".format(100*accuracy))\n",
    "\n",
    "print(\"\")\n",
    "print(\"Precision: {}%\".format(100*metrics.precision_score(y_test, predictions, average=\"weighted\")))\n",
    "print(\"Recall: {}%\".format(100*metrics.recall_score(y_test, predictions, average=\"weighted\")))\n",
    "print(\"f1_score: {}%\".format(100*metrics.f1_score(y_test, predictions, average=\"weighted\")))\n",
    "\n",
    "print(\"\")\n",
    "print(\"Confusion Matrix:\")\n",
    "confusion_matrix = metrics.confusion_matrix(y_test, predictions)\n",
    "print(confusion_matrix)\n",
    "normalised_confusion_matrix = np.array(confusion_matrix, dtype=np.float32)/np.sum(confusion_matrix)*100\n",
    "\n",
    "print(\"\")\n",
    "print(\"Confusion matrix (normalised to % of total test data):\")\n",
    "print(normalised_confusion_matrix)\n",
    "print(\"Note: training and testing data is not equally distributed amongst classes, \")\n",
    "print(\"so it is normal that more than a 6th of the data is correctly classifier in the last category.\")\n",
    "\n",
    "# Plot Results: \n",
    "width = 12\n",
    "height = 12\n",
    "plt.figure(figsize=(width, height))\n",
    "plt.imshow(\n",
    "    normalised_confusion_matrix, \n",
    "    interpolation='nearest', \n",
    "    cmap=plt.cm.rainbow\n",
    ")\n",
    "plt.title(\"Confusion matrix \\n(normalised to % of total test data)\")\n",
    "plt.colorbar()\n",
    "tick_marks = np.arange(n_classes)\n",
    "plt.xticks(tick_marks, LABELS, rotation=90)\n",
    "plt.yticks(tick_marks, LABELS)\n",
    "plt.tight_layout()\n",
    "plt.ylabel('True label')\n",
    "plt.xlabel('Predicted label')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "sess.close()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Conclusion\n",
    "\n",
    "Outstandingly, **the final accuracy is of 91%**! And it can peak to values such as 93.25%, at some moments of luck during the training, depending on how the neural network's weights got initialized at the start of the training, randomly. \n",
    "\n",
    "This means that the neural networks is almost always able to correctly identify the movement type! Remember, the phone is attached on the waist and each series to classify has just a 128 sample window of two internal sensors (a.k.a. 2.56 seconds at 50 FPS), so it amazes me how those predictions are extremely accurate given this small window of context and raw data. I've validated and re-validated that there is no important bug, and the community used and tried this code a lot. (Note: be sure to report something in the issue tab if you find bugs, otherwise [Quora](https://www.quora.com/), [StackOverflow](https://stackoverflow.com/questions/tagged/tensorflow?sort=votes&pageSize=50), and other [StackExchange](https://stackexchange.com/sites#science) sites are the places for asking questions.)\n",
    "\n",
    "I specially did not expect such good results for guessing between the labels \"SITTING\" and \"STANDING\". Those are seemingly almost the same thing from the point of view of a device placed at waist level according to how the dataset was originally gathered. Thought, it is still possible to see a little cluster on the matrix between those classes, which drifts away just a bit from the identity. This is great.\n",
    "\n",
    "It is also possible to see that there was a slight difficulty in doing the difference between \"WALKING\", \"WALKING_UPSTAIRS\" and \"WALKING_DOWNSTAIRS\". Obviously, those activities are quite similar in terms of movements. \n",
    "\n",
    "I also tried my code without the gyroscope, using only the 3D accelerometer's 6 features (and not changing the training hyperparameters), and got an accuracy of 87%. In general, gyroscopes consumes more power than accelerometers, so it is preferable to turn them off. \n",
    "\n",
    "\n",
    "## Improvements\n",
    "\n",
    "In [another open-source repository of mine](https://github.com/guillaume-chevalier/HAR-stacked-residual-bidir-LSTMs), the accuracy is pushed up to nearly 94% using a special deep LSTM architecture which combines the concepts of bidirectional RNNs, residual connections, and stacked cells. This architecture is also tested on another similar activity dataset. It resembles the nice architecture used in \"[Google’s Neural Machine Translation System: Bridging the Gap between Human and Machine Translation](https://arxiv.org/pdf/1609.08144.pdf)\", without an attention mechanism, and with just the encoder part - as a \"many to one\" architecture instead of a \"many to many\" to be adapted to the Human Activity Recognition (HAR) problem. I also worked more on the problem and came up with the [LARNN](https://github.com/guillaume-chevalier/Linear-Attention-Recurrent-Neural-Network), however it's complicated for just a little gain. Thus the current, original activity recognition project is simply better to use for its outstanding simplicity. \n",
    "\n",
    "If you want to learn more about deep learning, I have also built a list of the learning ressources for deep learning which have revealed to be the most useful to me [here](https://github.com/guillaume-chevalier/Awesome-Deep-Learning-Resources). \n",
    "\n",
    "\n",
    "## References\n",
    "\n",
    "The [dataset](https://archive.ics.uci.edu/ml/datasets/Human+Activity+Recognition+Using+Smartphones) can be found on the UCI Machine Learning Repository: \n",
    "\n",
    "> Davide Anguita, Alessandro Ghio, Luca Oneto, Xavier Parra and Jorge L. Reyes-Ortiz. A Public Domain Dataset for Human Activity Recognition Using Smartphones. 21th European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning, ESANN 2013. Bruges, Belgium 24-26 April 2013.\n",
    "\n",
    "The RNN image for \"many-to-one\" is taken from Karpathy's post: \n",
    "\n",
    "> Andrej Karpathy, The Unreasonable Effectiveness of Recurrent Neural Networks, 2015, \n",
    "> http://karpathy.github.io/2015/05/21/rnn-effectiveness/\n",
    "\n",
    "## Citation\n",
    "\n",
    "Copyright (c) 2016 Guillaume Chevalier. To cite my code, you can point to the URL of the GitHub repository, for example: \n",
    "\n",
    "> Guillaume Chevalier, LSTMs for Human Activity Recognition, 2016, \n",
    "> https://github.com/guillaume-chevalier/LSTM-Human-Activity-Recognition\n",
    "\n",
    "My code is available for free and even for private usage for anyone under the [MIT License](https://github.com/guillaume-chevalier/LSTM-Human-Activity-Recognition/blob/master/LICENSE), however I ask to cite for using the code. \n",
    "\n",
    "Here is the BibTeX citation code: \n",
    "```\n",
    "@misc{chevalier2016lstms,\n",
    "  title={LSTMs for human activity recognition},\n",
    "  author={Chevalier, Guillaume},\n",
    "  year={2016}\n",
    "}\n",
    "```\n",
    "\n",
    "## Extra links\n",
    "\n",
    "### Connect with me\n",
    "\n",
    "- [LinkedIn](https://ca.linkedin.com/in/chevalierg)\n",
    "- [Twitter](https://twitter.com/guillaume_che)\n",
    "- [GitHub](https://github.com/guillaume-chevalier/)\n",
    "- [Quora](https://www.quora.com/profile/Guillaume-Chevalier-2)\n",
    "- [YouTube](https://www.youtube.com/c/GuillaumeChevalier)\n",
    "- [Dev/Consulting](http://www.neuraxio.com/en/)\n",
    "\n",
    "### Liked this project? Did it help you? Leave a [star](https://github.com/guillaume-chevalier/LSTM-Human-Activity-Recognition/stargazers), [fork](https://github.com/guillaume-chevalier/LSTM-Human-Activity-Recognition/network/members) and share the love!\n",
    "\n",
    "This activity recognition project has been seen in:\n",
    "\n",
    "- [Hacker News 1st page](https://news.ycombinator.com/item?id=13049143)\n",
    "- [Awesome TensorFlow](https://github.com/jtoy/awesome-tensorflow#tutorials)\n",
    "- [TensorFlow World](https://github.com/astorfi/TensorFlow-World#some-useful-tutorials)\n",
    "- And more.\n",
    "\n",
    "---\n"
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      "[NbConvertApp] Converting notebook LSTM.ipynb to markdown\n",
      "[NbConvertApp] Support files will be in LSTM_files/\n",
      "[NbConvertApp] Making directory LSTM_files\n",
      "[NbConvertApp] Making directory LSTM_files\n",
      "[NbConvertApp] Writing 38654 bytes to LSTM.md\n"
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    "# Let's convert this notebook to a README automatically for the GitHub project's title page:\n",
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